Question

1.m^3n-mn^3 2.(4x-3y)^2-16y^2 3.-4(x+2y)^2+9(2x-y)^2 4.x^2-y

Answer 1

1.m^3n-mn^3

=mn(m^2-n^2)

=mn(m+n)(m-n)

2.(4x-3y)^2-16y^2

=(4x-3y+4y)(4x-3y-4y)

=(4x+y)(4x-7y)

3.-4(x+2y)^2+9(2x-y)^2

=9(2x-y)^2-4(x+2y)^2

=[3(2x-y)+2(x+2y)][3(2x-y)-2(x+2y)]

=(8x+y)(4x-7y)

4.x^2-y^4

=(x+y^2)(x-y^2)

5.49/81x^2-0.36y^2

=(7/9x+0.6y)(7/9x-0.6y)

=1/45(35x+27y)(35x-27y)

6.-x^2+1/4

=1/4(1-4x^2)

=1/4(1+2x)(1-2x)